Another "Board Game"ish problem that you might consider is
The challenge is to write a piece of software that can, for example, list all the solutions for the 6x10 board. When it comes to displaying the results either a simple printout, a graphical display or, better still, an actual physical set can be quite effective.
The solution exercises a variety of CS concepts and yet even a brute force approach can quickly yield a few usable results.
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